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Finding the Third Proportional to 305,723,766,732 and 455,934,448,647

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Solution

The third proportional to 305,723,766,732 and 455,934,448,647 is: 679,947,861,709.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,723,766,732 : 455,934,448,647 = 455,934,448,647 : x
  2. Step 2: Convert to fraction form
    305,723,766,732/455,934,448,647 = 455,934,448,647/x
  3. Step 3: Cross multiply
    305,723,766,732x = 455,934,448,647 × 455,934,448,647
  4. Step 4: Simplify right side
    305,723,766,732x = 207,876,221,463,043,864,788,992
  5. Step 5: Solve for x
    x = 207,876,221,463,043,864,788,992/305,723,766,732
  6. Step 6: Final answer
    x = 679,947,861,709.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.